Algorithms for Cycloids
©Rüdiger Valk
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Equivalence of two points in the Fundamental Parallelogram.
Are two points (x,y) and (u,v) equivalent?
Equivalent point within the Fundamental Parallelogram (by the formula).
Which point (u,v) within the Fundamental Parallelogram is equivalent to (x,y) ?
Equivalent point within the Fundamental Parallelogram by enumeration of all its points.
Which point (u,v) within the Fundamental Parallelogram is equivalent to (x,y) together with all its points ?
Example: Fundamental Parallelogram of the Cycloid C(alpha,beta,gamma,delta) = C(3,4,2,5) with equivalent points (u,v) = (3,0) inside and (x,y) = (1,-5) outside.
Generated using the tool 'Cycloids Charasteristics' by Peter Langner.
Minimal cycle
Computing the minimal length cyc of cycles.
